TY - JOUR AU - Zhang, Lingzhong AU - Liang, Yue PY - 2015 DA - 2015/10/19 TI - Monotone iterative technique for impulsive fractional evolution equations with noncompact semigroup JO - Advances in Difference Equations SP - 324 VL - 2015 IS - 1 AB - This paper deals with the existence of mild solutions for a class of Caputo fractional impulsive evolution equation with nonlocal condition and noncompact semigroup. By using a monotone iterative technique in the presence of coupled lower and upper L-quasi-solutions and using Sadovskii’s fixed point theorem, some existence theorems are obtained. The discussion is based on operator semigroup theory. SN - 1687-1847 UR - https://doi.org/10.1186/s13662-015-0665-6 DO - 10.1186/s13662-015-0665-6 ID - Zhang2015 ER -